Theoretical Analysis for Determining Geographical Route of Cable Network with Various Disaster-Endurance Levels

TL;DR

This paper provides a theoretical framework for analyzing how natural disasters impact cable network connectivity, focusing on the influence of disaster-endurance levels and protection strategies on network disconnection probabilities.

Contribution

It introduces a method to determine the maximum lower bound of connection probability between nodes considering disaster-endurance levels and protection placement.

Findings

Derived explicit lower bounds for connection probabilities.

Identified conditions affecting connection probabilities with protection.

Provided guidelines for strategic placement of protected network segments.

Abstract

This paper theoretically analyzes cable network disconnection due to randomly occurring natural disasters, where the disaster-endurance (DE) levels of the network are determined by a network entity such as the type of shielding method used for a duct containing cables. The network operator can determine which parts have a high DE level. When a part of a network can be protected, the placement of that part can be specified to decrease the probability of disconnecting two given nodes. The maximum lower bound of the probability of connecting two given nodes is explicitly derived. Conditions decreasing (not decreasing) the probability of connecting two given nodes with a partially protected network are provided.